Rana Sardar

activity

20242026

collaborators

4 papers

math.GR2026

On 2-Sphere Bowditch Boundaries Attaining Conformal Dimension

Abhijit Pal, Rana Sardar

Bonk and Kleiner proved that if $G$ is a Gromov hyperbolic group whose boundary $\partial_{\infty} G$ is homeomorphic to an Ahlfors $Q$ -regular metric $2$ -sphere $Z$ , and the Ahlfor…

math.GT2026

A Characterization of Relative Hyperbolicity via Morse and Contracting Boundaries

Vyshnav PT, Pranab Sardar, Rana Sardar

We prove the following boundary-theoretic characterization of relatively hyperbolic groups. Let $G$ be a finitely generated group with a finite collection $H$ of finitely…

math.GT2025

Quasiconformal Maps between Bowditch Boundaries of Relatively Hyperbolic Groups

Rana Sardar

Classifying finitely generated groups up to quasi-isometry is a central problem in geometric group theory. In the context of hyperbolic and relatively hyperbolic groups, one of the…

math.GT2024

Maps between Boundaries of Relatively Hyperbolic Groups

Abhijit Pal, Rana Sardar

F. Paulin proved that if the Gromov boundaries of two hyperbolic groups are quasi-Mobius equivalent, then the groups themselves are quasi-isometric. The goal of this article is to…